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<div class="title">base_kernel.h</div>  </div>
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<a href="base__kernel_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* -------------------------------------------------------------------------*</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">*                               SPHinXsys                                   *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">* --------------------------------------------------------------------------*</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">* SPHinXsys (pronunciation: s&#39;finksis) is an acronym from Smoothed Particle *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">* Hydrodynamics for industrial compleX systems. It provides C++ APIs for    *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">* physical accurate simulation and aims to model coupled industrial dynamic *</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">* systems including fluid, solid, multi-body dynamics and beyond with SPH   *</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">* (smoothed particle hydrodynamics), a meshless computational method using  *</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">* particle discretization.                                                  *</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">* SPHinXsys is partially funded by German Research Foundation               *</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">* (Deutsche Forschungsgemeinschaft) DFG HU1527/6-1, HU1527/10-1             *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">* and HU1527/12-1.                                                          *</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">* Portions copyright (c) 2017-2020 Technical University of Munich and       *</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">* the authors&#39; affiliations.                                                *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">* Licensed under the Apache License, Version 2.0 (the &quot;License&quot;); you may   *</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">* not use this file except in compliance with the License. You may obtain a *</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">* copy of the License at http://www.apache.org/licenses/LICENSE-2.0.        *</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">* --------------------------------------------------------------------------*/</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#ifndef BASE_KERNELS_H</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#define BASE_KERNELS_H</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &quot;base_data_package.h&quot;</span></div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;functional&gt;</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">using namespace </span><a class="code" href="namespacestd_1_1placeholders.html">std::placeholders</a>;</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_s_p_h.html">SPH</a></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;{</div><div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html">   63</a></span>&#160;    <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1_kernel.html">Kernel</a></div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    {</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">protected</span>:</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> std::string kernel_name_;</div><div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html#a6fc23142d06516e6fd9dbdfad1869114">   67</a></span>&#160;        Real h_, <a class="code" href="class_s_p_h_1_1_kernel.html#a6fc23142d06516e6fd9dbdfad1869114">inv_h_</a>; </div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        Real cutoff_radius_ref_; </div><div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html#a020d84f32ef2d01ada898f44e696bd51">   70</a></span>&#160;        Real <a class="code" href="class_s_p_h_1_1_kernel.html#a020d84f32ef2d01ada898f44e696bd51">factor_W_1D_</a>, factor_W_2D_, factor_W_3D_;</div><div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html#a0b4e8f0f49a50eedb84c61523d05ad5b">   72</a></span>&#160;        Real <a class="code" href="class_s_p_h_1_1_kernel.html#a0b4e8f0f49a50eedb84c61523d05ad5b">factor_dW_1D_</a>, factor_dW_2D_, factor_dW_3D_;</div><div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html#a7512f5241cf7c52ee484db23b1feed79">   74</a></span>&#160;        Real <a class="code" href="class_s_p_h_1_1_kernel.html#a7512f5241cf7c52ee484db23b1feed79">factor_d2W_1D_</a>, factor_d2W_2D_, factor_d2W_3D_;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordtype">void</span> setDerivativeParameters();</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="keyword">public</span>:</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1_kernel.html">Kernel</a>(Real h, <span class="keyword">const</span> std::string &amp;kernel_name = <span class="stringliteral">&quot;Kernel&quot;</span>);</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1_kernel.html">Kernel</a>() {};</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        </div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        std::string Name()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> kernel_name_; };</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        Real SmoothingLength()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> h_; };</div><div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html#a2f92ff9c38d6c5612f09b2ae5f031c74">   85</a></span>&#160;        <span class="keyword">virtual</span> Real <a class="code" href="class_s_p_h_1_1_kernel.html#a2f92ff9c38d6c5612f09b2ae5f031c74">KernelSize</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 2.0; };</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        Real CutOffRadius()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cutoff_radius_ref_; };</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        Real FactorW1D()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factor_W_1D_; };</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        Real FactorW2D()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factor_W_2D_; };</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        Real FactorW3D()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factor_W_3D_; };</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">virtual</span> Real W(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Real&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">virtual</span> Real W(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec2d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">virtual</span> Real W(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec3d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">virtual</span> Real W_1D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">virtual</span> Real W_2D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keyword">virtual</span> Real W_3D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div><div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html#a59ac5682fcb81ba4690f818041dfa1b9">  106</a></span>&#160;        <span class="keyword">virtual</span> Real <a class="code" href="class_s_p_h_1_1_kernel.html#a59ac5682fcb81ba4690f818041dfa1b9">W0</a>(<span class="keyword">const</span> Real&amp; point_i)<span class="keyword">  const </span>{ <span class="keywordflow">return</span> factor_W_1D_; };</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">virtual</span> Real W0(<span class="keyword">const</span> Vec2d&amp; point_i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factor_W_2D_; };</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keyword">virtual</span> Real W0(<span class="keyword">const</span> Vec3d&amp; point_i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factor_W_3D_; };</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keyword">virtual</span> Real dW(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Real&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keyword">virtual</span> Real dW(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec2d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">virtual</span> Real dW(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec3d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">virtual</span> Real dW_1D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">virtual</span> Real dW_2D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">virtual</span> Real dW_3D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keyword">virtual</span> Real d2W(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Real&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keyword">virtual</span> Real d2W(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec2d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keyword">virtual</span> Real d2W(<span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec3d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keyword">virtual</span> Real d2W_1D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <span class="keyword">virtual</span> Real d2W_2D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keyword">virtual</span> Real d2W_3D(<span class="keyword">const</span> Real q) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;     <span class="comment">//----------------------------------------------------------------------</span></div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;     <span class="comment">//     Below are for variable smoothing length.</span></div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;     <span class="comment">//     Note that we input the ratio between the reference smoothing length</span></div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;     <span class="comment">//     to the variable smoothing length.</span></div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;     <span class="comment">//----------------------------------------------------------------------</span></div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="keyword">protected</span>:</div><div class="line"><a name="l00145"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1_kernel.html#a4be6ef034da0bc10a0f4c20493bacb90">  145</a></span>&#160;        <span class="keyword">typedef</span> std::function&lt;Real(const Real&amp;)&gt; <a class="code" href="class_s_p_h_1_1_kernel.html#a4be6ef034da0bc10a0f4c20493bacb90">FactorFunctor</a>;</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <a class="code" href="class_s_p_h_1_1_kernel.html#a4be6ef034da0bc10a0f4c20493bacb90">FactorFunctor</a> h_factor_W_1D_, h_factor_W_2D_, h_factor_W_3D_;</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        <a class="code" href="class_s_p_h_1_1_kernel.html#a4be6ef034da0bc10a0f4c20493bacb90">FactorFunctor</a> h_factor_dW_1D_, h_factor_dW_2D_, h_factor_dW_3D_;</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <a class="code" href="class_s_p_h_1_1_kernel.html#a4be6ef034da0bc10a0f4c20493bacb90">FactorFunctor</a> h_factor_d2W_1D_, h_factor_d2W_2D_, h_factor_d2W_3D_;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        Real factorW1D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> h_ratio; };</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        Real factorW2D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> h_ratio * h_ratio; };</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        Real factorW3D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> h_ratio * h_ratio * h_ratio; };</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        Real factordW1D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factorW1D(h_ratio) * h_ratio; };</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        Real factordW2D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factorW2D(h_ratio) * h_ratio; };</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        Real factordW3D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factorW3D(h_ratio)* h_ratio; };</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        Real factord2W1D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factordW1D(h_ratio) * h_ratio; };</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        Real factord2W2D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factordW2D(h_ratio) * h_ratio; };</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        Real factord2W3D(<span class="keyword">const</span> Real&amp; h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> factordW3D(h_ratio) * h_ratio; };</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="keyword">public</span>:</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        Real CutOffRadius(Real h_ratio)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cutoff_radius_ref_ / h_ratio; };</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        Real W(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Real&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        Real W(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec2d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        Real W(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec3d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        Real W0(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; point_i)  <span class="keyword">const</span>;</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        Real W0(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Vec2d&amp; point_i) <span class="keyword">const</span>;</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        Real W0(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Vec3d&amp; point_i) <span class="keyword">const</span>;</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        Real dW(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Real&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        Real dW(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec2d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        Real dW(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec3d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        Real d2W(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Real&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;        Real d2W(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec2d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        Real d2W(<span class="keyword">const</span> Real&amp; h_ratio, <span class="keyword">const</span> Real&amp; r_ij, <span class="keyword">const</span> Vec3d&amp; displacement) <span class="keyword">const</span>;</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <span class="comment">//----------------------------------------------------------------------</span></div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        <span class="comment">//      Below are for reduced kernels.</span></div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        <span class="comment">//----------------------------------------------------------------------</span></div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    <span class="keyword">public</span>:</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        <span class="keywordtype">void</span> reduceOnce(); </div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordtype">void</span> reduceTwice(); </div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    };</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;}</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="preprocessor">#endif //BASE_KERNELS_H</span></div><div class="ttc" id="namespacestd_1_1placeholders_html"><div class="ttname"><a href="namespacestd_1_1placeholders.html">placeholders</a></div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html_a4be6ef034da0bc10a0f4c20493bacb90"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html#a4be6ef034da0bc10a0f4c20493bacb90">SPH::Kernel::FactorFunctor</a></div><div class="ttdeci">std::function&lt; Real(const Real &amp;)&gt; FactorFunctor</div><div class="ttdef"><b>Definition:</b> base_kernel.h:145</div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html_a2f92ff9c38d6c5612f09b2ae5f031c74"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html#a2f92ff9c38d6c5612f09b2ae5f031c74">SPH::Kernel::KernelSize</a></div><div class="ttdeci">virtual Real KernelSize() const</div><div class="ttdef"><b>Definition:</b> base_kernel.h:85</div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html_a59ac5682fcb81ba4690f818041dfa1b9"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html#a59ac5682fcb81ba4690f818041dfa1b9">SPH::Kernel::W0</a></div><div class="ttdeci">virtual Real W0(const Real &amp;point_i) const</div><div class="ttdef"><b>Definition:</b> base_kernel.h:106</div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html">SPH::Kernel</a></div><div class="ttdoc">Abstract base class of a general SPH kernel function which is a smoothed Dirac delta function...</div><div class="ttdef"><b>Definition:</b> base_kernel.h:63</div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html_a6fc23142d06516e6fd9dbdfad1869114"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html#a6fc23142d06516e6fd9dbdfad1869114">SPH::Kernel::inv_h_</a></div><div class="ttdeci">Real inv_h_</div><div class="ttdef"><b>Definition:</b> base_kernel.h:67</div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html_a0b4e8f0f49a50eedb84c61523d05ad5b"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html#a0b4e8f0f49a50eedb84c61523d05ad5b">SPH::Kernel::factor_dW_1D_</a></div><div class="ttdeci">Real factor_dW_1D_</div><div class="ttdef"><b>Definition:</b> base_kernel.h:72</div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html_a7512f5241cf7c52ee484db23b1feed79"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html#a7512f5241cf7c52ee484db23b1feed79">SPH::Kernel::factor_d2W_1D_</a></div><div class="ttdeci">Real factor_d2W_1D_</div><div class="ttdef"><b>Definition:</b> base_kernel.h:74</div></div>
<div class="ttc" id="class_s_p_h_1_1_kernel_html_a020d84f32ef2d01ada898f44e696bd51"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html#a020d84f32ef2d01ada898f44e696bd51">SPH::Kernel::factor_W_1D_</a></div><div class="ttdeci">Real factor_W_1D_</div><div class="ttdef"><b>Definition:</b> base_kernel.h:70</div></div>
<div class="ttc" id="namespace_s_p_h_html"><div class="ttname"><a href="namespace_s_p_h.html">SPH</a></div><div class="ttdef"><b>Definition:</b> solid_body_supplementary.cpp:9</div></div>
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